4806508140 has 384 divisors, whose sum is σ = 17853696000. Its totient is φ = 1050319872.

The previous prime is 4806508129. The next prime is 4806508151. The reversal of 4806508140 is 418056084.

4806508140 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 508 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (4806508129) and next prime (4806508151).

It is a super-3 number, since 3×4806508140³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4806508095 and 4806508104.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17867926 + ... + 17868194.

It is an arithmetic number, because the mean of its divisors is an integer number (46494000).

Almost surely, 2^4806508140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4806508140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8926848000).

4806508140 is an abundant number, since it is smaller than the sum of its proper divisors (13047187860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4806508140 is a wasteful number, since it uses less digits than its factorization.

4806508140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 4806508140 is about 69328.9848476090. The cubic root of 4806508140 is about 1687.6273721141.

The spelling of 4806508140 in words is "four billion, eight hundred six million, five hundred eight thousand, one hundred forty".